Question

Find the area of the following polygon, if AL=20 cm, AM=30 cm, AN=60cm, AO=70cm and AD=100 cm​

Answer 1

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Find the area of the following polygon if AL=10cm,AM=20cm.AN=50cm,AO=60cm and AD=90cm

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Solution

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Correct option is D)

Area of all triangles = Area of triangle AFM + Area of triangle EOD + Area of triangle ALB + Area of triangle NCD =

2

1

×AM×FM+

2

1

×EO×OD+

2

1

×AL×LB+

2

1

×ND×NC

2

1

×20×20+

2

1

×60×30+

2

1

×10×30+

2

1

×40×40

200+900+150+800=2050

Area of all trapezium = Area of FMOE+ Area of LNCB

2

1

(FM+EO)×MO+1/2×(LB+NC)×LN

2

1

×(20+60)×40+1/2×(30+40)×40

=3000

area of the polygon =Area of all triangles + Area of all trapezium

A=2050+3000=5050cm

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